{"id":"openai-math/Rationality-of-the-Canonical-Unramified-Arthur-Filtration","pdf":"https://github.com/openai/math/blob/main/preprints/Rationality-of-the-Canonical-Unramified-Arthur-Filtration-September-24-2026/paper.pdf","url":"https://github.com/openai/math/tree/main/preprints/Rationality-of-the-Canonical-Unramified-Arthur-Filtration-September-24-2026","tags":["automorphic-forms","langlands","geometric-langlands"],"score":0,"title":"Rationality of the Canonical Unramified Arthur Filtration","domain":"Number theory","family":"014","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.NT","summary":"Under the characteristic hypotheses of restricted geometric Langlands theory, we prove that the canonical Arthur filtration on finitely supported unramified automorphic functions is defined over ℚ for split connected semisimple groups. The result includes the noncuspidal part and every closed invariant nilpotent support, establishing the rationality conjecture of Gaitsgory–Lafforgue–Raskin in this setting.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-09-24","reactions":{},"formalized":false,"family_title":"Restricted geometric Langlands, global Arthur enhancements, and generic Ramanujan"}